2684658816 has 320 divisors, whose sum is σ = 9277234560. Its totient is φ = 754790400.

The previous prime is 2684658811. The next prime is 2684658833. The reversal of 2684658816 is 6188564862.

2684658816 is a `hidden beast` number, since 2 + 6 + 8 + 46 + 588 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684658811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5152636 + ... + 5153156.

It is an arithmetic number, because the mean of its divisors is an integer number (28991358).

Almost surely, 2^2684658816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2684658816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638617280).

2684658816 is an abundant number, since it is smaller than the sum of its proper divisors (6592575744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2684658816 is an equidigital number, since it uses as much as digits as its factorization.

2684658816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 604 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 2684658816 is about 51813.6933252205. The cubic root of 2684658816 is about 1389.8343256123.

The spelling of 2684658816 in words is "two billion, six hundred eighty-four million, six hundred fifty-eight thousand, eight hundred sixteen".